The Aloha star, 40, and stunning Russian model started dating last month after being introduced by Leonardo DiCaprio and reportedly still can't keep their hands off each other as things heat up between the pair.

A source close to the duo said: "They have been spending lots of time together these past few weeks and have had many date nights. Their chemistry is crazy when they are together. They can't keep their hands off of each other."

While the duo are still getting to know each other, insiders believe their relationship is becoming more serious.

Bradley Cooper with new girlfriend Irina Shayk (Image: FameFlynet)

The source told E! News: "Bradley thinks Irina is stunning but also such a sweet woman with a great heart. Irina is really impressed with how down to earth Bradley is and really easy to be around.

"She also thinks he is such a hardworking, talented actor. They have great conversation and so many laughs when they are hanging out.

"Friends of theirs would not be surprised if things got serious. Bradley and Irina are just relaxing and enjoying each other."

Bradley Cooper and Suki Waterhouse split in March

The American Sniper star split from model Suki, 23, in March after two years of dating, while Irina, 29, and ex-boyfriend Cristiano Ronaldo, 30, ended their relationship in January after five years together.

At the weekend, it emerged that the footballer was allegedly dumped by long-term girlfriend Irina after she claimed he cheated.

A source told The Sun: "For so long she trusted him and stuck up for him but now she feels completely let down and betrayed."

We imagine Bradley will be a complete gentleman - he seems like a keeper.